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Finding the Fourth Proportional to 507,342.94, 698,538.27 and 430,710.46

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Solution

The fourth proportional to 507,342.94, 698,538.27 and 430,710.46 is: 593,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,342.94 : 698,538.27 = 430,710.46 : x
  2. Step 2: Convert to fraction form
    507,342.94/698,538.27 = 430,710.46/x
  3. Step 3: Cross multiply
    507,342.94x = 698,538.27 × 430,710.46
  4. Step 4: Simplify right side
    507,342.94x = 300,867,739,599.30
  5. Step 5: Solve for x
    x = 300,867,739,599.30/507,342.94
  6. Step 6: Final answer
    x = 593,026.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.